| Base | Representation |
|---|---|
| bin | 1100100011000… |
| … | …11010100110000 |
| 3 | 21100001222122200 |
| 4 | 12101203110300 |
| 5 | 203421430212 |
| 6 | 14240103200 |
| 7 | 2415506250 |
| oct | 621432460 |
| 9 | 240058580 |
| 10 | 105264432 |
| 11 | 544677a9 |
| 12 | 2b304b00 |
| 13 | 18a67a60 |
| 14 | dda1960 |
| 15 | 93946dc |
| hex | 6463530 |
105264432 has 240 divisors, whose sum is σ = 376434240. Its totient is φ = 26707968.
The previous prime is 105264409. The next prime is 105264449. The reversal of 105264432 is 234462501.
105264432 is a `hidden beast` number, since 10 + 5 + 2 + 644 + 3 + 2 = 666.
It is a super-3 number, since 3×1052644323 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 105264396 and 105264405.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379878 + ... + 380154.
It is an arithmetic number, because the mean of its divisors is an integer number (1568476).
Almost surely, 2105264432 is an apocalyptic number.
105264432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 105264432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188217120).
105264432 is an abundant number, since it is smaller than the sum of its proper divisors (271169808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105264432 is a wasteful number, since it uses less digits than its factorization.
105264432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 340 (or 331 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 105264432 is about 10259.8456128735. The cubic root of 105264432 is about 472.1651007221.
It can be divided in two parts, 1052644 and 32, that added together give a square (1052676 = 10262).
The spelling of 105264432 in words is "one hundred five million, two hundred sixty-four thousand, four hundred thirty-two".
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